The table below represents Gerry's trip to school and back home. If the total time is 45 minutes, how far does Gerry live from school?
Chose the best equation to solve for x

The Table Below Represents Gerry's Trip To School And Back Home. If The Total Time Is 45 Minutes, How

Answers

Answer 1

Answer:

1) x/8+ x/16= 3/4    2) 4 miles

Step-by-step explanation:

Answer 2

The table is an illustration of distance, rates (speed) and time.

The best equation to solve for x is: [tex]\frac x8 + \frac x{16} = \frac 34[/tex].Gerry lives 4 miles from school

From the question, we have:

[tex]t =45\ mins[/tex] --- total time spent

Convert to hours

[tex]t =\frac{45}{60}hr[/tex]

Reduce fraction

[tex]t =\frac{3}{4}hr[/tex]

The times spent to school and back home are given as:

[tex]t_1 = \frac x8[/tex]

[tex]t_2 = \frac x{16}[/tex]

So, we have:

[tex]t_1 + t_2 = t[/tex]

This gives:

[tex]\frac x8 + \frac x{16} = \frac 34[/tex]

Hence, the equation that can be used to solve for x is: [tex]\frac x8 + \frac x{16} = \frac 34[/tex]

Take LCM

[tex]\frac{2x + x}{16} = \frac 34[/tex]

[tex]\frac{3x}{16} = \frac 34[/tex]

Multiply through by 16

[tex]\frac{3x}{16}\times 16 = \frac 34 \times 16[/tex]

[tex]3x = 12[/tex]

Divide both sides by 3

[tex]x = 4[/tex]

The distance to school and back home are given as:

[tex]d_1 = d_2 = x[/tex]

So, we have:

[tex]d_1 = d_2 = 4[/tex]

This means that Gerry lives 4 miles from school

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Related Questions

Which choices are in the solution set of the equation below? Check all that
apply.
25x = 40

Answers

Final answer:

The solution set for the equation 25x = 40 is {1.6}, obtained by dividing both sides by 25 and verifying the solution by substitution.

Explanation:

To find the solution set of the equation 25x = 40, we need to isolate the variable x by performing algebraic operations. The goal is to get x by itself on one side of the equation. This involves dividing both sides of the equation by the coefficient of x, which in this case is 25. Following this step, we arrive at the equation x = 40 / 25.

By simplifying 40 / 25, we find that x = 1.6. Therefore, the solution set for the equation 25x = 40 is {1.6}. It’s important to check the solution by substituting it back into the original equation to ensure that it satisfies the equation:

25(1.6) = 40

40 = 40

This indeed confirms that x = 1.6 is the correct solution. In mathematics, solving linear equations such as this one is a fundamental skill that involves understanding algebraic manipulation and the properties of equality.

The solution set for the equation 25x = 40 is x = 8/5. In other words, the only value for x that satisfies the equation is 8/5.

The solution set for the equation 25x = 40, we can isolate the variable x by dividing both sides of the equation by 25:

x = 40/25

Simplifying the right side gives:

x = 8/5

So, the solution set for this equation is {8/5}. In other words, the only value for x that satisfies the equation is 8/5. To understand this, you can substitute this value back into the original equation:

25 * (8/5) = 40

Simplifying the left side:

200/5 = 40

Indeed, the equation holds true.

In summary, the only choice in the solution set for the equation 25x = 40 is x = 8/5. This means that when you substitute 8/5 for x in the equation, both sides will be equal.

The measures of the angles in a triangle are 1.5x, 2.4x, and 3.3x. Write an equation to determine the measure of each angle in the triangle. Use the equation to determine the exact measure of each angle in the triangle.

Answers

Answer:

[tex]37.5^{\circ}\,,\,60^{\circ}\,,\,82.5^{\circ}[/tex]

Step-by-step explanation:

Given: measures of the angles in a triangle are [tex]1.5x,2.4x,3.3x[/tex]

To find: equation to determine the measure of each angle in the triangle and exact measure of each angle in the triangle

Solution:

According to angle sum property, sum of angles of a triangle is [tex]180^{\circ}[/tex]

So, equation to determine the measure of each angle in the triangle is [tex]1.5x+2.4x+3.3x=180^{\circ}[/tex]

[tex]1.5x+2.4x+3.3x=180^{\circ}\\7.2x=180^{\circ}\\x=\frac{180^{\circ}}{7.2}=25^{\circ}[/tex]

So,

[tex]1.5x=1.5(25^{\circ})=37.5^{\circ}\\2.4x=2.4(25^{\circ})=60^{\circ}\\3.3x=3.3(25^{\circ})=82.5^{\circ}[/tex]

which event has exactly 12 possible outcomes

Answers

Final answer:

An event with exactly 12 possible outcomes may refer to rolling a single 12-sided die, rolling two six-sided dice with one specific number on one die and any number on the other, or flipping a coin and rolling a six-sided die.

Explanation:

The event that has exactly 12 possible outcomes could be the rolling of a 12-sided die once, which would result in one of the twelve numbers coming up. Another example is rolling two six-sided dice and considering the situation where one specific number must come up on one die, while any of the six numbers could come up on the other die, thus also resulting in 12 possible outcomes (6 possible outcomes for the second die, times 1 fixed outcome for the first die), assuming the outcome of interest is only about the second die. Yet another example could be flipping a coin and rolling a six-sided die, where the coin has two possible outcomes (heads or tails) and the die has six possible outcomes, giving us a total of 12 outcomes (2 x 6 = 12).

Hey, so whats 4d > 16 in a graph?

Answers

Answer:

see below

Step-by-step explanation:

4d>16

Divide each side by 4

4d/4 >16/4

d >4

At the store Jason finds the total volume of soda in a pack is 50.24 cubic inches . If each cylinder -shaped can has a height of 4 inches and a diameter of 2 inches , how many soda cans are in a pack ? (Use 3.14 for pi)


A) 4

B) 5

C) 13

D) 2


Explain:

Answers

Answer: A) 4

Step-by-step explanation:

Hi, to answer this, first, we have to calculate the volume of each can:

Volume of a cylinder: π x radius^2 x height

Since:

Diameter: 2 radius

2 = 2r

2/2 =r

r=1

Back with the volume formula:

V = 3.14 ( 1)² 4 =12.54 cubic inches

Now, we have to divide the total volume of soda by the volume of each can:

50.24/12.54= 4 soda cans

Feel free to ask for more if needed or if you did not understand something.




Which answer choice shows in order from greatest to least?

A. 11.09, 11.283, 11.301, 12.08, 12.8

B. 12.08, 12.8, 11.301, 11.283, 11.09

C. 12.8, 12.08, 11.301, 11.283, 11.09

D. 11.09, 11.283, 11.301, 12.8, 12.08

Answers

Answer:

C. 12.8, 12.08, 11.301, 11.283, 11.09


12. Make an estimate and then divide as if the dividend was a whole number. Use the estimate to place your decimal.
8.46 ➗3=

Estimate:

What partial quotients did you use? _________________________

Answer:

Answers

Answer:

8.4/3=2.8

2.8 is the estimate

8.46/3=2

8.46-6=2.46

2.46/3=.8

2.46-2.4=0.06

0.06/3=0.02

0.06-0.06=0

The real answer would be 2.82

Step-by-step explanation:

Is the following situation represented by a positive integer, a negative integer, or zero?

Before taking off, the plane was on the ground.

Zero
Positive
Negative

Answers

Zero bc it’s neither going up or coming down

Answer:

zero

Step-by-step explanation:

because it hasn't taken off. It is its starting position

Which sequence of transformations will verify that


a) ABC and A'B'C' are congruent?

b) ABC is moved onto A'B'C' after translating -16 units horizontally and 6
units vertically, and then reflecting across the y-axis.


c) ABC is moved onto A'B'C' after translating 16 units horizontally and -6
units vertically, and then reflecting across the y-axis.

d) ABC is moved onto A'B'C' after translating -16 units horizontally and 6
units vertically, and then reflecting across the x-axis.
ABC is moved onto A'B'C' after translating 16 units horizontally and -6
units vertically, and then reflecting across the x-axis.

Answers

Answer:

C) △ABC is moved onto △A'B'C' after translating −16 units horizontally and 6 units vertically, and then reflecting across the x-axis.

Explanation: I did USA Test Prep.

A new cyclindrical swimming pool is being built at the
local rec center. It has a radius of 13 feet and a height of 6
feet. Tim determined that 1,0141 ft of water would be
needed to fill the pool, but jasmine calculated that
3,185.57 ft of water would be needed. Explain who
calculated the volume properly.

Answers

Sample Response: Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.

Classify this triangle by the angles and lengths of sides shown.

A.) acute, equilateral
B.) acute, scalene
C.) acute, isosceles
D.) obtuse, scalene​

Answers

C all angle measures under 90 degrees

in an exponential function, (x) = a(b)^x, it is known that f(5)=15 and f(8)=170. which of the following is closest to the value of b?

(1)1.87
(2)2.25
(3)3.19
(4)3.72

Answers

Answer:

2.25

Step-by-step explanation:

5=15 and d8=170=which of the following is closest to the value of fb

The value of b is closest to (2) 2.25

An exponential function is represented as:

[tex]f(x) = a(b)^x[/tex]

[tex]f(5) = 15[/tex] means that:

[tex]ab^5 = 15[/tex] ---- equation (1)

[tex]f(8) = 170[/tex] means that:

[tex]ab^8 = 170[/tex] ---- equation (2)

Divide equation (2) by equation (1)

[tex]\frac{ab^8}{ab^5}= \frac{170}{15}[/tex]

Divide common factors

[tex]b^3= 11.33[/tex]

Take the cube root of both sides

[tex]b= \sqrt[3]{11.33}[/tex]

Evaluate the expression

[tex]b= 2.246[/tex]

2.246 can be approximated to 2.25

Hence, the value of b is closest to (2) 2.25

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hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?

Answers

Answer:

this is the best way i could explain

Step-by-step explanation:

remember that the equation of a line is y = mx +b, where m is the slope and b is the y-intercept.

 

Start with your first point on the y-axis at -2.  Your slope is 1/2 (rise/run), so go up 1 and over 2 for your next point.  Keep going with this and you'll find your points.

 

Another way to find your y-values is to plug in the x's you have.  y = 1/2(2) - 2 = 1 - 2 = -1, so your first point is (2,-1). This should show up on your graph, as well.

 

What do you get when you plug in the 0?  Your answer should be your first point on your graph, since along the y-axis, x = 0.

The graph of the equation given is attached to the solution.

Given that, an equation y = 1/2 x - 2, we need to graph it,

So, for the same, we will first find the coordinates points,

Therefore,

y = 1/2 x - 2

Put y = 0,

1/2 x - 2 = 0

x = 4

The point = (4, 0)

Put x = 0,

y = -2

The point = (-2, 0)

Put the coordinates in the graph and join the points, we will have a straight line, this straight is the graph of the linear equation given,

That mean the equation is a linear equation.

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Which expression is equivalent to StartFraction 4 a + 4 Over 2 a EndFraction times StartFraction a squared Over a + 1 EndFraction? StartFraction 2 (a + 1) squared Over a cubed EndFraction 6a 2a StartFraction 6 a squared Over a + 1 EndFraction

Answers

Answer:

C. 2a

Step-by-step explanation:

i did this because I love you- angelo (junior 11th grade) CCHS 2021

The expression that is equivalent to (4a + 4)/2a × a²/(a + 1) is: 2a.

What are Equivalent Expressions?

Equivalent expressions are expressions that have the same value when simplified.

Thus:

(4a + 4)/2a × a²/(a + 1)

Multiply

[(4a + 4)(a²)] / [(2a)(a + 1)]

(4a³ + 4a²) / (2a² + 2a)

2a(2a² + 2a) / 2a(a + 1)

(2a² + 2a) / (a + 1)

2a(a + 1) / (a + 1)

= 2a

Therefore, the expression that is equivalent to (4a + 4)/2a × a²/(a + 1) is: 2a.

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Students are running a relay race. The race is 1/3 mile total. How far will each students run?

Answers

Answer:533.33 meters

Step-by-step explanation:

The mile would be four laps around a track which is 400 meters so 400x4 divided by 3 (I ran track that’s the only reason I figured this out)

There is a relay race with 4 runners. The total distance run in the relay race is m

miles. Write an expression to show how far each person runs in the relay race.

Answers

4m=how far they run in the relay race
Final answer:

In a relay race with 4 runners covering a total distance of m miles, each runner will cover an equal share of the distance, specifically m ÷ 4 miles.

Explanation:

If there is a relay race with 4 runners and the total distance run is m miles, we want to find the distance each person runs. Since the total distance is divided equally among the 4 runners, we can express the distance each runner will run as:

The distance each runner runs = Total distance ÷ Number of runners

The distance each runner runs = m ÷ 4

This expression shows that each runner will run a quarter of the total distance m.

Which equation represents a linear function? Equation 1: y^3 = 2x +1 Equation 2: y= 3x +1 Equation 3: y= 5x^2 - 1 Equation 4: y=4x^4 -1

Answers

the second equation is linear

A submarine was located 800 feet below sea level. There is a drone
flying 250 feet above sea level over the submarine, how far apart are
the submarine and the drone?

Answers

Answer:

1,050

Step-by-step explanation:

Answer:

1050 feet

Step-by-step explanation:

The submarines location is 800 feet below which is -800 and the drones location is 250 feet above which is just 250. To get to -800 from 250 you subtract 1050 so the total distance is 1050.

What property must you do to eliminate the parentheses in an equation.
A. Distributive Property
B. Associative Property
C. Multiplication Property
D. Commutative Property
I need the answer​

Answers

Answer:

distributive

Step-by-step explanation:

Answer:

A. Distributive Property

Step-by-step explanation:

solve for the unknown variable 2/5(3x-4)=-4

Answers

Answer:

x = -2

Step-by-step explanation:

Solve for x:

(2 (3 x - 4))/5 = -4

Multiply both sides of (2 (3 x - 4))/5 = -4 by 5/2:

(5×2 (3 x - 4))/(2×5) = -4×5/2

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) (3 x - 4) = -4×5/2

5/2 (-4) = (5 (-4))/2:

(5×2 (3 x - 4))/(2×5) = (-4×5)/2

(5×2 (3 x - 4))/(2×5) = (2×5)/(2×5)×(3 x - 4) = 3 x - 4:

3 x - 4 = (-4×5)/2

(-4)/2 = (2 (-2))/2 = -2:

3 x - 4 = 5×-2

5 (-2) = -10:

3 x - 4 = -10

Add 4 to both sides:

3 x + (4 - 4) = 4 - 10

4 - 4 = 0:

3 x = 4 - 10

4 - 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer:  x = -2

Step-by-step explanation:

HERE IS HOW YOU COULD SOLVE IT !!

Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

WHICH THE ANSWER WOULD BE x= -2

A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,
in feet after t seconds is given by the function h=-16t^2 + 120t + 10. How long does it take to
reach maximum height? What is the boulder's maximum height? Round to the nearest
hundredth, if necessary.
a. Reaches a maximum height of 235.00 feet in 3.75 seconds.
b. Reaches a maximum height of 10.00 feet in 7.50 seconds.
c. Reaches a maximum height of 7.58 feet in 3.75 seconds.
d. Reaches a maximum height of 15.16 feet in 7.5 seconds.

Answers

Answer:

The boulder's maximum height is:

a. Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The easiest way to solve the unknown is to replace the time in the given equation, with the values ​​given in the answer, look for the highest value and check if the height value decreases as the time increases or decreases.

First the equation provided is taken:

h = -16t ^ 2 + 120t + 10

The time values ​​in the options are 3.75 seconds and 7.5 seconds, therefore we proceed to replace this formula with those values:

h (3.75) = - 16 (3.75) ^ 2 + 120 (3.75) + 10 = 235 h (7.5) = - 16 (7.5) ^ 2 + 120 (7.5) + 10 = 10

Since a higher height value is obtained with 3.75 seconds (235 feet), this time will be taken as appropriate, however, it is best to check that by using more time and less time, the height decreases from that value, so we will take two very close times: 3.74 seconds and 3.76 seconds:

h (3.74) = - 16 (3.74) ^ 2 + 120 (3.74) + 10 = 234.9984 h (3.76) = - 16 (3.76) ^ 2 + 120 (3.76) + 10 = 220.5884

As you can see, if slightly higher or lower time values ​​are taken, the height of the rock still decreases from 235 feet, so we can be sure that the time in which it reaches its maximum height is 3.75 seconds.

Approximate the value of 11−−√ to the nearest tenths place. Plot the approximation on the number line.

Answers

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Approximate the value of [tex]\sqrt{11}[/tex] to the nearest tenths place. Plot the approximation on the number line.

(Please have a look at the attached photo)

My answer:

The value nearest tenths place of [tex]\sqrt{11}[/tex] is: 3.3

Hope it will find you well.

A class sold tickets to their school play. Each of the 23 students in the class sold 4 tickets. The cost of each
ticket was $7.
How much money did the class earn by selling tickets to the play?​

Answers

Answer:

$644

Step-by-step explanation:

7 × 4 = 28

28 × 23 = 644

Plz click the Thanks button!

<Jayla>

Answer:

644

Step-by-step explanation:

I got this because 23 times 4  which is 92 then you have to times 92 by 7 which is 644

Using a number line, what is a 12 more than 35

Answers

12 more than 35 is 47.

The value of number is,

⇒ 12 + 35 = 47

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The expression is,

⇒ A number is 12 more than 35.

Now, Let a number is,

⇒ x

Hence, We can formulate;

⇒ x = 12 + 35

⇒ x = 47

Therefore, The value of number is,

⇒ 12 + 35 = 47

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Can you answer these questions? Im doing them on my own but I need to check if they're right

Answers

Answer:

Sure! But I need to see the questions to answer them.

~Lexi

Answer:

Sure I can.

Step-by-step explanation:

Just post what questions you need checking, and I'll try to the best I can.

Determine is the following set is a function or not: (-3,5) (1,3) (4,5 (3,5) (-3,5)

Answers

Answer:

It is

Step-by-step explanation:

The reason being is both times you imputed -3 you got an output of 5.

What is the vertex of the parabola whose equation is y = (x + 1)2 + 3?
(-1,-3)
(-1,3)
(1,3)

Answers

Answer:

Step-by-step explanation:

(-1,3)

I need help with Pythagorean theorem

Answers

Answer:

1 2/7 just multiply

Step-by-step explanation:

plz help me will give you brainliest!!!!
Answer both questions please!!!
Stay Safe!!

Answers

Answer:

10

Step-by-step explanation:

Area of a triangle is

A = [tex]\frac{1}{2}[/tex]bh

A = [tex]\frac{1}{2}[/tex] 5 x 4

A = [tex]\frac{1}{2}[/tex] 20

A = 10

For the second image you find the area of the poster

5 x 3 = 15

15 ÷ $2 = 7.5 = $7.50

Sorry if its wrong

On a number line point M is the midpoint of PQ. Point P is -2 point M is 5. What number is located at point Q?
A) 7
B)8
C)12
D)14

Answers

Answer:

12

Step-by-step explanation:

We know 5 in the midpoint and P = -2. Point P is 7 points away (5--2=7). Then to find the point Q you add 7 to 5 which equals 12.

I think it will be 12 because if 5 has to be in the middle then the distance of Q has to equal the distance of P
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